Direction: Write only the letter of the correct answer on the blank provided at the left of the number. _1. The square of a number equals four times that number. Find the number. A. O or 1 B. 0 or 2 C. O or 4 _2. Find the number if twenty five less than the square of a number equals zero. A. -5 or 5 c.-15 or 15 D. -20 or 20 B. -10 or 10 3. Which expression represents the length of the side of the square with an area of 9a+30a + 25 square units? A. (3a - 5) units B. (3a+5) units C. (5a +3) units D. (5a - 3) units

Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
ChapterP: Preliminary Concepts
SectionP.CT: Test
Problem 1CT
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Question
Direction: Write only the letter of the correct answer on the blank provided at the left of the number.
_1. The square of a number equals four times that number. Find the number.
D. 0 or 6
_2. Find the number if twenty five less than the square of a number equals zero.
D. -20 or 20
A. O or 1
B. O or 2
C. O or 4
B. -10 or 10
c. -15 or 15
A. -5 or 5
_3. Which expression represents the length of the side of the square with an area of 9a" +30a + 25
square units?
A. (3a - 5) units
_4. The difference of the square of a number and 15 is the same as twice the number. Find the
B. (3a+5) units
C. (5a +3) units D. (5a - 3) units
numbers that satisfy the given condition.
A. 3 and 5
B. -3 and 5
С. Запd -5
D. -3 and -5
5. Five times the square of a number equals ten times that number. What is the number?
C. O or -3
A. O or -2
B. 0 or 2
D. O or 3
_6. The square of a number decreased by 15 is ten. What is the number?
В. З ог -3
C. 4 or -4
D. 5 or -5
А. 2 or -2
7. If the area of the square is a2- 2a +1 square units, what is the length of each side?
A. (a - 2) units
8. The product of two consecutive integers is 156. Find the integers.
A. -11 and -12 or 11 and 12
B. (a + 2) units
C. (a - 1) units
D. (a+ 1) units
B. -12 and -13 or 12 and 13
C. -9 and -10 or 9 and 10
_9. The area of a square is numerically equal to three times its perimeter. Find the length of a side of
D. -13 and -14 or 13 and 14
the square.
A. 4
C. 12
B. 8
D. 16
_10. The area of a square lot is 10 000 square meters, find the length of one side.
A. 10 meters
B. 100 meters
C. 1000 meters
D. 10 000 meters
_11. What is the measure of one side of the square if its area is x2- 10x +25 square units?
A. 1 unit
D. 25 units
B. 5 units
B. 10 units
_12. The area of a rug is 300 square centimeters. The length of the rug is 5 cm more than its width.
What is the width of the rug?
A. 5 cm
B. 10 cm
C. 15 cm
D. 20 cm
_13. The cube of a number equals 4 times the square of the number. Find the number.
A. O or 2
_14. The area of the floor of a rectangular room is 140 square feet. The length of the room is 4 feet
more than its width. Find the width and length of the room.
A. 4 ft and 35 ft
B. 0 or 4
c. o or -4
D. O or 6
D. 10 ft and 14 ft
_15.A square garden is to be made rectangular. The length of the garden will be increased by 5 units
while its width will be decreased by 5 units. What will happen to the area of the garden?
B. The area will decrease by 10 square units.
D. The area will decrease by 25 square units.
B. 5 ft and 28 ft
C. 7 ft and 20 ft
A. The area will increase by 10 square units.
C. The area will increase by 25 square units.
Transcribed Image Text:Direction: Write only the letter of the correct answer on the blank provided at the left of the number. _1. The square of a number equals four times that number. Find the number. D. 0 or 6 _2. Find the number if twenty five less than the square of a number equals zero. D. -20 or 20 A. O or 1 B. O or 2 C. O or 4 B. -10 or 10 c. -15 or 15 A. -5 or 5 _3. Which expression represents the length of the side of the square with an area of 9a" +30a + 25 square units? A. (3a - 5) units _4. The difference of the square of a number and 15 is the same as twice the number. Find the B. (3a+5) units C. (5a +3) units D. (5a - 3) units numbers that satisfy the given condition. A. 3 and 5 B. -3 and 5 С. Запd -5 D. -3 and -5 5. Five times the square of a number equals ten times that number. What is the number? C. O or -3 A. O or -2 B. 0 or 2 D. O or 3 _6. The square of a number decreased by 15 is ten. What is the number? В. З ог -3 C. 4 or -4 D. 5 or -5 А. 2 or -2 7. If the area of the square is a2- 2a +1 square units, what is the length of each side? A. (a - 2) units 8. The product of two consecutive integers is 156. Find the integers. A. -11 and -12 or 11 and 12 B. (a + 2) units C. (a - 1) units D. (a+ 1) units B. -12 and -13 or 12 and 13 C. -9 and -10 or 9 and 10 _9. The area of a square is numerically equal to three times its perimeter. Find the length of a side of D. -13 and -14 or 13 and 14 the square. A. 4 C. 12 B. 8 D. 16 _10. The area of a square lot is 10 000 square meters, find the length of one side. A. 10 meters B. 100 meters C. 1000 meters D. 10 000 meters _11. What is the measure of one side of the square if its area is x2- 10x +25 square units? A. 1 unit D. 25 units B. 5 units B. 10 units _12. The area of a rug is 300 square centimeters. The length of the rug is 5 cm more than its width. What is the width of the rug? A. 5 cm B. 10 cm C. 15 cm D. 20 cm _13. The cube of a number equals 4 times the square of the number. Find the number. A. O or 2 _14. The area of the floor of a rectangular room is 140 square feet. The length of the room is 4 feet more than its width. Find the width and length of the room. A. 4 ft and 35 ft B. 0 or 4 c. o or -4 D. O or 6 D. 10 ft and 14 ft _15.A square garden is to be made rectangular. The length of the garden will be increased by 5 units while its width will be decreased by 5 units. What will happen to the area of the garden? B. The area will decrease by 10 square units. D. The area will decrease by 25 square units. B. 5 ft and 28 ft C. 7 ft and 20 ft A. The area will increase by 10 square units. C. The area will increase by 25 square units.
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